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Finding the Fourth Proportional to 30,191.49, 45,289.49 and 8,004.38

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Solution

The fourth proportional to 30,191.49, 45,289.49 and 8,004.38 is: 12,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.49 : 45,289.49 = 8,004.38 : x
  2. Step 2: Convert to fraction form
    30,191.49/45,289.49 = 8,004.38/x
  3. Step 3: Cross multiply
    30,191.49x = 45,289.49 × 8,004.38
  4. Step 4: Simplify right side
    30,191.49x = 362,514,021.50
  5. Step 5: Solve for x
    x = 362,514,021.50/30,191.49
  6. Step 6: Final answer
    x = 12,007.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.